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Simplifying 2(4x + 8) = 4(10x + 6) Reorder the terms: 2(8 + 4x) = 4(10x + 6) (8 * 2 + 4x * 2) = 4(10x + 6) (16 + 8x) = 4(10x + 6) Reorder the terms: 16 + 8x = 4(6 + 10x) 16 + 8x = (6 * 4 + 10x * 4) 16 + 8x = (24 + 40x) Solving 16 + 8x = 24 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 16 + 8x + -40x = 24 + 40x + -40x Combine like terms: 8x + -40x = -32x 16 + -32x = 24 + 40x + -40x Combine like terms: 40x + -40x = 0 16 + -32x = 24 + 0 16 + -32x = 24 Add '-16' to each side of the equation. 16 + -16 + -32x = 24 + -16 Combine like terms: 16 + -16 = 0 0 + -32x = 24 + -16 -32x = 24 + -16 Combine like terms: 24 + -16 = 8 -32x = 8 Divide each side by '-32'. x = -0.25 Simplifying x = -0.25
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